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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 309738.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 309738.bb1 | 309738bb1 | \([1, 0, 1, -2469628, 1493139770]\) | \(4614353674880850565201/1659374643573504\) | \(599034246330034944\) | \([]\) | \(5713920\) | \(2.3801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309738.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309738.bb do not have complex multiplication.Modular form 309738.2.a.bb
sage: E.q_eigenform(10)